Mathematics and Statistics

Journal Article: Assignment-minimal clique coverings (2012)

Abstract: The search for minimum clique coverings of graphs appears in many practical guises and with several possible minimization goals. One reasonable goal is to minimize the number of overall cliques in a covering, while a second less well-studied but equally reasonable goal is to minimize the number of individual assignments of vertices to...

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Journal Article: A comparison of three commonly used methods for treating no preference votes (2012)

Abstract: The treatment of no preference votes continues to be an issue in sensory science, especially as the proper treatment of these votes has recently gained importance in advertising claims support. There are currently three main methods in common use: dropping the no preference votes, splitting the votes equally and splitting the votes proportionally...

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Journal Article: Justifying count-based comparisons (2012)

Abstract: Count-based comparisons such as “7 out of 10” or “2 to 1” are often used to quantify superior product performance. Because of experimental variability, statistics are needed to ensure confidence in such comparisons. Even so, count-based comparisons commonly appear without any statistical treatment of the data. In this article, we discuss statistics to...

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Journal Article: eTURF: A competitive TURF algorithm for large datasets (2012)

Abstract: Although Total Unduplicated Reach and Frequency (TURF) analysis has repeatedly demonstrated value in a variety of market research applications, TURF analyses on large problem sizes have historically either been unacceptably slow or approximate in their solutions. To resolve this dilemma, we begin by identifying and explaining the principle of non-synergy that is present...

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Journal Article: Confidence bounds for multiplicative comparisons (2011)

Abstract: Statements that are inherently multiplicative have historically been justified using ratios of random variables. Although recent work on ratios has extended the classical theory to produce confidence bounds conditioned on a positive denominator, this current article offers a novel perspective that eliminates the need for such a condition. Although seemingly trivial, this new...

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Journal Article: Equivalence hypothesis testing: Reply to Bi (2010)

Abstract: Berger and Hsu (1996a), whom Bi cites as a source for the IUT principle and the TOST, were sufficiently dissatisfied with the TOST as a test of bioequivalence that they developed their own alternative in the same paper. The idea for the TOST did not come from IUT principles, it came from the...

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Journal Article: Equivalence hypothesis testing (2010)

Abstract: In statistical applications, such as a comparison of two items, it is useful to know whether one item is equivalent to another. Similarly it is often desirable to know whether one item can act as a substitute for another. Applications of the concept of equivalence include blend and flavor modifications of products, substitution...

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Journal Article: Describing the universal cover of a noncompact limit (2010)

Journal Article: Describing the universal cover of a noncompact limit (2010)

Abstract: This article appears as: Ennis, J. M. and Wei, G. (2010). Describing the universal cover of a noncompact limit. Geometry & Topology, 14(4), 2479-2496. Colleagues can request this journal article here: Describing the universal cover of a noncompact limit Not a Colleague? Click here to join for free!

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Journal Article: Hypothesis testing for equivalence based on symmetric open intervals (2009)

Abstract: There are many industrial applications for which it is desirable to know whether one product can act as a substitute for another. Examples include product modifications when ingredients change, substitution of generic drugs for brand-name drugs and modifications of products in response to government regulations. In addition, some companies develop products that are...

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Journal Article: Confidence bounds for positive ratios of normal random variables (2008)

Abstract: Some applications of ratios of normal random variables require both the numerator and denominator of the ratio to be positive if the ratio is to have a meaningful interpretation. In these applications, there may also be substantial likelihood that the variables will assume negative values. An example of such an application is when...

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